What is the derivative of y=(10)/x ?

The derivative of y=(10)/x is -(10)/(x^2)

What is the first derivative of y=(10)/x ?

The first derivative of y=(10)/x is -(10)/(x^2)

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derivative of

y = \frac{10}{x}

- \frac{10}{x ^{2}}

Solution steps

\frac{d}{d x} (\frac{10}{x})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 10 \frac{d}{d x} (\frac{1}{x})

Apply exponent rule:

\frac{1}{a} = a^{- 1}

= 10 \frac{d}{d x} (x^{- 1})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 10 (- 1 \cdot x^{- 1 - 1})

Simplify

10 (- 1 \cdot x^{- 1 - 1}) : - \frac{10}{x ^{2}}

= - \frac{10}{x ^{2}}

\frac{d}{d x} (tan (\frac{x}{2}) - cot (\frac{x}{2}))

\int (2 x - 3) (4 x^{2} + 1) d x

\frac{d}{d x} (\frac{5 x}{x - 2})

x \to - 2 lim (\frac{7}{x ^{2}})

x \to 7 - lim (\frac{( x + 8 )}{x - 7})

What is the derivative of y=(10)/x ?
The derivative of y=(10)/x is -(10)/(x^2)
What is the first derivative of y=(10)/x ?
The first derivative of y=(10)/x is -(10)/(x^2)